Blind adaptive equalization and simultaneous separation of convolutive mixtures

Blind equalization and simultaneous separation of convolutive mixtures is a challenging problem that has received art increased attention over tile recent years. Recent developpements in multichannel equalization/identification show that this problem is perfectly solvable assuming some conditions called multichannel identifiability. We choose to use tile Constant Modulus criterion since it can; under the previous conditions; retrieve and equalize one source perfectly. Moreover, CM is quite robust to these conditions and to channel additive noise. However, applying the CM criterion may sometimes result iii selecting the same source several times, but with different delays. A decorrelation criterion is then required to select the different sources, In this paper, we propose two approaches to combine CM with a decorrelation procedure in order to obtain an adaptive algorithm. In a noise free context, we prove that its minima achieve restoration of the separated sources.